Witts Theorem in Finite Dimensions

  • Herbert Gross
Part of the Progress in Mathematics book series (PM, volume 1)


Witt’s Theorem tells that any isometry between subspaces in a finite dimensional space E can be extended to an element of the orthogonal group of E. Geometric algebra in finite dimensions pivots on this theorem. Much of the effort put in this book has been aimed at discovering and proving analogous theorems in countable dimension. In this chapter we discuss the finite dimensional case.


Orthogonal Group Finite Dimension Hermitean Form Geometric Algebra Symmetric Bilinear Form 
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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Herbert Gross
    • 1
  1. 1.Mathematisches InstitutUniversität ZürichZürichSwitzerland

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